By means of Stokes' Theorem, find | F. dŘ 3.x, on the ellipse x² + y? = 1, z = F = xỉ+ (x + y)3+ (x + y + z). The ellipse is traced counterclockwise if we look back at it from the direction of the positive z-axis.
By means of Stokes' Theorem, find | F. dŘ 3.x, on the ellipse x² + y? = 1, z = F = xỉ+ (x + y)3+ (x + y + z). The ellipse is traced counterclockwise if we look back at it from the direction of the positive z-axis.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 27E
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By means of Stokes' theorem, find the integral dot product between F and dR on the ellipse (x^2 + y^2=1, z=3x) where F= x i + (x+y) j + (x+y+z) k. The ellipse is traced counterclockwise if we look back at it from the direction of the positive z-axis.
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![By means of Stokes' Theorem, find
| F. dŘ
3.x,
on the ellipse x² + y? = 1, z =
F = xỉ+ (x + y)3+ (x + y + z).
The ellipse is traced counterclockwise if we look back at it from the direction of the
positive z-axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53115e5f-ebb4-4cf7-9335-d947e6c1b069%2F955f80cc-6e9f-41af-97dd-0a0313106b33%2F5szz4m.jpeg&w=3840&q=75)
Transcribed Image Text:By means of Stokes' Theorem, find
| F. dŘ
3.x,
on the ellipse x² + y? = 1, z =
F = xỉ+ (x + y)3+ (x + y + z).
The ellipse is traced counterclockwise if we look back at it from the direction of the
positive z-axis.
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